The polygons are similar. The area of one polygon is given. Find the areas of the other polygon.

Answers

Answer 1

Answer:

[tex]Area = 6cm^2[/tex]

Step-by-step explanation:

Given

See attachment for polygons

Required

The area of the other polygon

From the attachment, we have:

[tex]A_1= 96cm^2[/tex]

[tex]b_1= 12cm[/tex]

and

[tex]b_2= 3cm[/tex]

In [tex]A_1= 96cm^2[/tex] and [tex]b_1= 12cm[/tex]

The area is calculated as:

[tex]Area = 0.5 * base * height[/tex]

[tex]A_1 = 0.5 * b_1 * h_1[/tex]

[tex]96 = 0.5 * 12 * h_1[/tex]

[tex]96 = 6 * h_1[/tex]

Solve for h

[tex]h_1 = 16[/tex]

Next, is to calculate the height of the other polygon using the following equivalent ratios;

[tex]b_1 : h_1 = b_2 : h_2[/tex]

This gives:

[tex]12 : 16 = 3 : h_2[/tex]

As fraction

[tex]\frac{12 }{ 16 }= \frac{3 }{ h_2}[/tex]

Solve for h

[tex]h_2 = \frac{16 * 3}{12}[/tex]

[tex]h_2 = 4[/tex]

So, the area is

[tex]Area = 0.5 * base * height[/tex]

[tex]Area = 0.5 * b_1 * h_1[/tex]

[tex]Area = 0.5 * 3 * 4[/tex]

[tex]Area = 6cm^2[/tex]

The Polygons Are Similar. The Area Of One Polygon Is Given. Find The Areas Of The Other Polygon.

Related Questions

i need help with the volume, tsa and x please

Answers

Answer:

Volume = 42 units^2

x = 5 units

Total Surface Area = 96 units

Step-by-step explanation:

Volume

V = bh, where b = 1/2 * 3 * 4 and h = 7,

= 6 * 7 = 42 units^2

x

You can solve for this variable by using the pythagorean theorem;

a^2 + b^2 = c^2, where a = 3 and b = 4,

9 + 16 = x^2

= 25 = x^2

= x = 5 units

Total Surface Area

You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:

7 * (3 + 4 + 5) + 2(1/2*3*4)

= 7*12 + 12

= 96 units

What is an equivalent expression of 12x + 10 + 4y?

Answers

Answer:

Step-by-step explanation:

2(6x+5+2y)

Answer:

You basically multiply the number outside the parentheses by everything inside.

So 2 × 6x = 12x,

2 × 5 = 10,

2 × 2y = 4y.

So your answer is 2(6x + 5 + 2y).

Step-by-step explanation:

3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by 16. Find their ages.

Answers

Answer:

Nancy will be 32 and Khaled will be 16

Step-by-step explanation:

3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16

If Samantha can make 6 bracelets in 1 hour and Payton makes 15 bracelets in 3 hours - what is the difference in the number of
bracelets they would make in 6 hours?

Answers

6 times 6 equals 36 while 15 times 2 equals 30 so samantha would make 6 more

The resultant of two forces acting at a point at right angles to each other is 40 pounds. If the horizontal force is 30 pounds what is the other force?​

Answers

Answer:

10√7 pound

Step-by-step explanation:

R = √A² + B² + 2ABcos∅

=> 40 = √30² + B² + 2ABcos0°

=> 40² = 30² + B² + 0

=> 1600 - 900 = B²

=> √700 = B

=> 10√7 = B

Note that if R = 50*, B = 40 pounds

Help please!!!!!!!!!!!!!!!!!!!!!

Answers

I believe the answer is c :)

Answer: 2 is D

Step-by-step explanation:

Lenni has a rectangular garden with a length of 5x-7 and a width of x-2.



Write an expression for the total perimeter in terms of x.
_______


Lenni measured the perimeter to be 66 feet. What is the value of x? Enter a number only in the box below.

_____ feet

Answers

Answer:

ths for the points TEHEHEHEHE

Step-by-step explanation:

Answer:

P = 12x - 18, x = 7 feet

Step-by-step explanation:

We know that the formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width. So we just substitute in for variables:

P = 2 (5x - 7) + 2 (x - 2)

We distribute by foiling:

P = 10x - 14 + 2x - 4

Then combine like terms:

P = 12x - 18

This can be further factored to 6(2x - 3) if needed.

Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:

6(2x - 3) = 66

Divide both sides by 6:

2x - 3 = 11

Add 3 to both sides:

2x = 14

Divide both sides by 2:

x = 7 feet

PLEASE HELP ME WITH THIS IT IS 12 AM

Answers

Where’s the question?
130 yards? I might be wrong

6.3r <-45.36
Which graph shows the correct solution?
-77-76 -75-74-73-72-71 -70 -69-68-67
-77-76-75-74 -73-72-71 -70 -69-68-67
-7.7-7.6-7.5-7.447.3-7.2-7.1 -7 -6.9-6.8
-7.7-7.6-7.5-7,4-7.3-7.2-7.1 -7 -6.9-6.8

Answers

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer: it’s d

Step-by-step explanation:

Plz help me due tomorrow

Answers

Answer:

$12

Step-by-step explanation:

Money spent by Tracy = 3x - 20

3x - 20 = 16       {add 20 to both sides}

       3x = 16 + 20

      3x  = 36        {Divide both sides by 3

       x = 36/3

x = 12

Money spent by Daniel = $12

Can someone help out

Answers

I believe you subtract those two numbers you have for the minutes. Then subtract 0.5 with the number you got since she ran 0.5 less then the first day. I’m not 100% sure but I think this might be the answer sorry if it’s wrong

17 Cos B +15=0

Write the value of x,y,r​

Answers

Answer:

16.4200739.....

Step-by-step explanation:

this full explanation is in Calculator

..

Use the digit cards only once to complete these multiplications

Answers

Answer:

1.  3*2/3=6/9

2. 2*3/2=6/4 I have no idea right now

Step-by-step explanation:

sorry about number 2 :(

what is the solution of
3x=-12

Answers

Answer:

x = -4

Step-by-step explanation:

divide both sides by 3 to get x = -4

Answer:

good luck on the rest of your hmwork :D

Step-by-step explanation:

Which value of x makes the equation
-4x + 8 = -12 true?

Answers

Answer:

x=5

Step-by-step explanation:

-4x + 8 = -12

-4x = -12-8

-4x = -20

x = -20÷-4

x = 5

The graph shows a line and two similar triangles.
What is the equation of the line?
Y=3/2x Y=2/3x Y= 3x

Answers

Answer: B. Y=2/3x

Step-by-step explanation:

what is the perimeter of 6 and 2

Answers

Answer:

In order to calculate perimeter, you need to add together the lengths of all four sides of the square. You are given the length of one side. Remember, all sides of a square are equal, so really you already have the measures of each side. Then, you add them together, so 6 + 6 + 6 + 6 = 24 inches.

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Answer:

16

Step-by-step explanation:

P=2(L+W)

=2(6+2)

=16

How do I solve this equation by using the quadratic formula 3x^2-12x-27=-6

Answers

Answer:

Move all terms to the left side of the equation and simplify.

3x²−12x−21=0

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=3, b=−12, and c=−21 into the quadratic formula and solve for x.

(12±√(−12)²−4⋅(3⋅−21)0/2⋅3 Simplify =>  x=2±√11

The result can be shown in multiple forms.

Exact Form: x=2±√11

Decimal Form: x=5.31662479…,−1.31662479…

Step-by-step explanation:

Step-by-step explanation:

The quadratic equation is

x=−b=−√b2−4ac2a

for a quadratic taking the form

ax2+bx+c=0

So for this equation it is

x=−(−12)±√(−12)2−4⋅3⋅112⋅3

x=12±√144−1326

x=12±√4⋅36

x=6±√33

Exhibits
Sandra makes an income of $10,000 a month. She pays $24,000 for
mortgage annually. What percent of Sandra's income pays for her
mortgage? Enter the percent in the box provided.

Answers

Answer:

20%

Step-by-step explanation:

PLEASE HELP!! ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

because when x ing a positive to a negative it will give you a negative however if you x a negative and a negitive it will give a positive

Step-by-step explanation:

Using the information below, write a variable expression for the following:
Brian is x years old.
Brandon is twice as old as Brian.
Billy is 2 years older than Brandon.

Answers

Answer:

Step-by-step explanation:

brain is 4 bradon is 8  billy 16 i do not know but that is my answer

Answer:

x = 2x = 2x+2

Step-by-step explanation:

Brian = x

Brandon = 2x

Billy = 2x+2

Which expression is equivalent to (144k^2r^14)1/2 for all positive values of k and r?​

Answers

Answer:

12kr^7

Step-by-step explanation:

Use the Distributive Property to simplify the expression: 8(c – 5)

Answers

Answer:

8c - 40

Step-by-step explanation:

8(c - 5)

8c - 8×5

= 8c - 40

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

We'll use the Distributive Property to simplify.

This property states that

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

In this little formula, a, b, and c can be variables, constants, or both.

Now we simplify:

[tex]\longrightarrow\tt{8(c-5)}[/tex]

Multiply 8 times c and -5:

[tex]\longrightarrow\tt{8c-40}[/tex]

Hence, we conclude that the answer is [tex]\tt{8c-40}[/tex].

I hope this helps you! Have an awesome day!

If you need any explanation or clarification, comment under my answer, and I'll see what I can do to help you out and answer your questions! :D

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

(2 x 10*)(5.7 x 10°) ^x =​

Answers

Answer:

20 x 57^x / 10^x

Step-by-step explanation:

What is the area of this trapezoid?


44 in²

64 in²

168 in²

192 in²

Answers

Answer:

44 in²  =  1,936

64 in² =  4,096

168 in² = 28,224

192 in²= 36,864

Step-by-step explanation:

Raise the number to the power of 2.

Ex : 192² raise by the the power of 2 is 36,864

Hope this helps you :)

Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.


Part A

How many meters per second does Sheila travel?

Part B

How long in seconds would it take Sheila to travel 90 meters at this speed?

Answers

Answer:

6 m/s

15 seconds

Step-by-step explanation:

Speed = distance / time

54 / 9 = 6 m/s

Given the same speed, we can determine the time she would use to travel

time = distance / speed = 90 / 6 = 15 seconds

In a class of 30 students, 9 have a brother and 17 have a sister. There are 7 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?

Answers

Answer:

Given are..

30

9

17

7

Operation to use..

Addition and Subtraction

Solution:

9 + 17 = 26

30 - 26 = 4

4 + 7 = 11

so in that case there are 11 student chosen randomly from the class has a brother and a sister.

The probability  that a student chosen randomly from the class has a brother and a sister would be; 11/30

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We are given that class of 30 students, 9 have a brother and 17 have a sister. There are 7 students who have a brother and a sister.

Therefore, we have 9 + 17 = 26

Total students

30 - 26 = 4

4 + 7 = 11

As we can see that there are 11 student chosen randomly from the class has a brother and a sister;

Probabilty = 11/30

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Estimate the volume of a soccer ball that has a diameter of 8 inches

Answers

Answer:

269 in³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.

Thus, the volume of this ball is:

V = (4/3)π(4 in)³

If an "estimate" is good enough, use 3.14 for π:

V = (4/3)(3.14)(4 in)³  =  269 in³

need to find the ratio

Answers

Answer:

B

Step-by-step explanation:

CosA = AB/AC = 12/20 = 3/5

Find the value of x in the following figure

Answers

I think it’s 34 hope this helps

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x - 6 + 89 + 57 = 180 , that is

5x + 140 = 180 ( subtract 140 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8 → A

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